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Finding the Fourth Proportional to 523,783.92, 785,716.92 and 168,808.44

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Solution

The fourth proportional to 523,783.92, 785,716.92 and 168,808.44 is: 253,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,783.92 : 785,716.92 = 168,808.44 : x
  2. Step 2: Convert to fraction form
    523,783.92/785,716.92 = 168,808.44/x
  3. Step 3: Cross multiply
    523,783.92x = 785,716.92 × 168,808.44
  4. Step 4: Simplify right side
    523,783.92x = 132,635,647,546.81
  5. Step 5: Solve for x
    x = 132,635,647,546.81/523,783.92
  6. Step 6: Final answer
    x = 253,225.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.